x-y-z-B-xy-yz-zx-C-xyz-D-find-x-y-and-z-in-terms-of-B-C-and-D-

Question Number 66895 by Kunal12588 last updated on 20/Aug/19

$${x}+{y}+{z}=−{B} \\ $$$${xy}+{yz}+{zx}={C} \\ $$$${xyz}=−{D} \\ $$$${find}\:{x},{y}\:{and}\:{z}\:{in}\:{terms}\:{of}\:{B},{C}\:{and}\:{D} \\ $$

Answered by mr W last updated on 20/Aug/19

$${x},{y},{z}\:{are}\:{roots}\:{of} \\ $$$${t}^{\mathrm{3}} +{Bt}^{\mathrm{2}} +{Ct}+{D}=\mathrm{0} \\ $$

Commented by mr W last updated on 20/Aug/19

Commented by behi83417@gmail.com last updated on 20/Aug/19

$$\mathrm{so}\:\mathrm{beautiful}!\:\mathrm{dear}\:\mathrm{master}. \\ $$